Finding the Third Proportional to 176,361 and 266,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,361 : 266,131.50 = 266,131.50 : x
2. Step 2: Convert to fraction form
   176,361/266,131.50 = 266,131.50/x
3. Step 3: Cross multiply
   176,361x = 266,131.50 × 266,131.50
4. Step 4: Simplify right side
   176,361x = 70,825,975,292.25
5. Step 5: Solve for x
   x = 70,825,975,292.25/176,361
6. Step 6: Final answer
   x = 401,596.58